Theory of Colours
Light spectrum, from Theory of Colours – Goethe observed that colour arises at the edges, and the spectrum occurs where these coloured edges overlap.
|Author||Johann Wolfgang von Goethe|
|Original title||Zur Farbenlehre|
Published in English
Theory of Colours (German: Zur Farbenlehre) is a book by Johann Wolfgang von Goethe about the poet's views on the nature of colours and how these are perceived by humans. It was published in German in 1810 and in English in 1840. The book contains detailed descriptions of phenomena such as coloured shadows, refraction, and chromatic aberration.
The work originated in Goethe's occupation with painting and mainly exerted an influence on the arts (Philipp Otto Runge, J. M. W. Turner, the Pre-Raphaelites, Wassily Kandinsky). The book is a successor to two short essays entitled "Contributions to Optics".
Although Goethe's work was rejected by physicists, a number of philosophers and physicists have concerned themselves with it, including Thomas Johann Seebeck, Arthur Schopenhauer (see: On Vision and Colors), Hermann von Helmholtz, Rudolf Steiner, Ludwig Wittgenstein, Werner Heisenberg, Kurt Gödel, and Mitchell Feigenbaum.
Goethe's book provides a catalogue of how colour is perceived in a wide variety of circumstances, and considers Isaac Newton's observations to be special cases. Unlike Newton, Goethe's concern was not so much with the analytic treatment of colour, as with the qualities of how phenomena are perceived. Philosophers have come to understand the distinction between the optical spectrum, as observed by Newton, and the phenomenon of human colour perception as presented by Goethe—a subject analyzed at length by Wittgenstein in his comments on Goethe's theory in Remarks on Colour.
- 1 Historical background
- 2 Goethe's theory
- 3 Goethe's colour wheel
- 4 Newton and Goethe
- 5 History and influence
- 6 Quotations
- 7 See also
- 8 Notes and references
- 9 Bibliography
- 10 External links
At Goethe's time, it was generally acknowledged that, as Isaac Newton had shown in his Opticks in 1704, colourless (white) light is split up into its component colours when directed through a prism.
Along with the rest of the world I was convinced that all the colours are contained in the light; no one had ever told me anything different, and I had never found the least cause to doubt it, because I had no further interest in the subject.
But how I was astonished, as I looked at a white wall through the prism, that it stayed white! That only where it came upon some darkened area, it showed some colour, then at last, around the window sill all the colours shone... It didn't take long before I knew here was something significant about colour to be brought forth, and I spoke as through an instinct out loud, that the Newtonian teachings were false.— Goethe
Goethe's starting point was the supposed discovery of how Newton erred in the prismatic experiment, and by 1793 Goethe had formulated his arguments against Newton in the essay "Über Newtons Hypothese der diversen Refrangibilität" ("On Newton's hypothesis of diverse refrangibility"). Yet, by 1794, Goethe had begun to increasingly note the importance of the physiological aspect of colours.
As Goethe notes in the historical section, Louis Bertrand Castel had already published a criticism of Newton's spectral description of prismatic colour in 1740 in which he observed that the sequence of colours split by a prism depended on the distance from the prism—and that Newton was looking at a special case.
"Whereas Newton observed the colour spectrum cast on a wall at a fixed distance away from the prism, Goethe observed the cast spectrum on a white card which was progressively moved away from the prism... As the card was moved away, the projected image elongated, gradually assuming an elliptical shape, and the coloured images became larger, finally merging at the centre to produce green. Moving the card farther led to the increase in the size of the image, until finally the spectrum described by Newton in the Opticks was produced... The image cast by the refracted beam was not fixed, but rather developed with increasing distance from the prism. Consequently, Goethe saw the particular distance chosen by Newton to prove the second proposition of the Opticks as capriciously imposed." (Alex Kentsis, Between Light and Eye)
The theory we set up against this begins with colourless light, and avails itself of outward conditions, to produce coloured phenomena; but it concedes worth and dignity to these conditions. It does not arrogate to itself developing colours from the light, but rather seeks to prove by numberless cases that colour is produced by light as well as by what stands against it.— Goethe
In the preface to the Theory of Colours, Goethe explained that he tried to apply the principle of polarity, in the work—a proposition that belonged to his earliest convictions and was constitutive of his entire study of nature.
Goethe's theory of the constitution of colours of the spectrum has not proved to be an unsatisfactory theory, rather it really isn't a theory at all. Nothing can be predicted with it. It is, rather a vague schematic outline of the sort we find in James's psychology. Nor is there any experimentum crucis which could decide for or against the theory.— Ludwig Wittgenstein, Remarks on Colour, paragraphs 70
It is hard to present Goethe's "theory", since he refrains from setting up any actual theory; he says, "its intention is to portray rather than explain" (Scientific Studies). Instead of setting up models and explanations, Goethe collected specimens—he was responsible for the meteorological collections of Jena University. By the time of his death, he had amassed over 17,800 minerals in his personal collection—the largest in all of Europe. He took the same approach to colour—instead of narrowing and isolating things to a single 'experimentum crucis' (or critical experiment that would prove or disprove his theory), he sought to gain as much breadth for his understanding as possible by developing a wide-ranging exposition through which is revealed the essential character of colour—without having to resort to explanations and theories about perceived phenomena such as 'wavelengths' or 'particles'.
"The crux of his color theory is its experiential source: rather than impose theoretical statements, Goethe sought to allow light and color to be displayed in an ordered series of experiments that readers could experience for themselves." (Seamon, 1998). According to Goethe, "Newton's error.. was trusting math over the sensations of his eye." (Jonah Lehrer, 2006).
To stay true to the perception without resort to explanation was the essence of Goethe's method. What he provided was really not so much a theory, as a rational description of colour. For Goethe, "the highest is to understand that all fact is really theory. The blue of the sky reveals to us the basic law of color. Search nothing beyond the phenomena, they themselves are the theory."
[Goethe] delivered in full measure what was promised by the title of his excellent work: Data for a Theory of Color. They are important, complete, and significant data, rich material for a future theory of color. He has not, however, undertaken to furnish the theory itself; hence, as he himself remarks and admits on page xxxix of the introduction, he has not furnished us with a real explanation of the essential nature of color, but really postulates it as a phenomenon, and merely tells us how it originates, not what it is. The physiological colors ... he represents as a phenomenon, complete and existing by itself, without even attempting to show their relation to the physical colors, his principal theme. ... it is really a systematic presentation of facts, but it stops short at this.
Goethe outlines his method in the essay, The experiment as mediator between subject and object (1772). It underscores his experiential standpoint. "The human being himself, to the extent that he makes sound use of his senses, is the most exact physical apparatus that can exist." (Goethe, Scientific Studies)
I believe that what Goethe was really seeking was not a physiological but a psychological theory of colours.— Ludwig Wittgenstein, Culture and Value, MS 112 255:26.11.1931
Light and darkness
Unlike his contemporaries, Goethe didn't see darkness as an absence of light, but rather as polar to and interacting with light; colour resulted from this interaction of light and shadow. For Goethe, light is "the simplest most undivided most homogeneous being that we know. Confronting it is the darkness" (Letter to Jacobi).
...they maintained that shade is a part of light. It sounds absurd when I express it; but so it is: for they said that colours, which are shadow and the result of shade, are light itself.
Based on his experiments with turbid media, Goethe characterized colour as arising from the dynamic interplay of darkness and light. Rudolf Steiner, the science editor for the Kurschner edition of Goethe's works, gave the following analogy:
Modern natural science sees darkness as a complete nothingness. According to this view, the light which streams into a dark space has no resistance from the darkness to overcome. Goethe pictures to himself that light and darkness relate to each other like the north and south pole of a magnet. The darkness can weaken the light in its working power. Conversely, the light can limit the energy of the darkness. In both cases color arises.— Rudolf Steiner, 1897
Goethe expresses this more succinctly:
Yellow is a light which has been dampened by darkness; Blue is a darkness weakened by light.
Experiments with turbid media
The action of turbid media was to Goethe the ultimate fact—the Urphänomen—of the world of colours.
Goethe's studies of colour began with experiments which examined the effects of turbid media, such as air, dust, and moisture on the perception of light and dark. The poet observed that light seen through a turbid medium appears yellow, and darkness seen through an illuminated medium appears blue.
The highest degree of light, such as that of the sun... is for the most part colourless. This light, however, seen through a medium but very slightly thickened, appears to us yellow. If the density of such a medium be increased, or if its volume become greater, we shall see the light gradually assume a yellow-red hue, which at last deepens to a ruby colour. If on the other hand darkness is seen through a semi-transparent medium, which is itself illumined by a light striking on it, a blue colour appears: this becomes lighter and paler as the density of the medium is increased, but on the contrary appears darker and deeper the more transparent the medium becomes: in the least degree of dimness short of absolute transparence, always supposing a perfectly colourless medium, this deep blue approaches the most beautiful violet.— Goethe, Theory of Colours, pp. 150–151
He then proceeds with numerous experiments, systematically observing the effects of rarefied mediums such as dust, air, and moisture on the perception of colour.
When viewed through a prism, the orientation of a light–dark boundary with respect to the prism's axis is significant. With white above a dark boundary, we observe the light extending a blue-violet edge into the dark area; whereas dark above a light boundary results in a red-yellow edge extending into the light area.
Goethe was intrigued by this difference. He felt that this arising of colour at light–dark boundaries was fundamental to the creation of the spectrum (which he considered to be a compound phenomenon).
Varying the experimental conditions by using different shades of grey shows that the intensity of coloured edges increases with boundary contrast.
Light and dark spectra
Since the colour phenomenon relies on the adjacency of light and dark, there are two ways to produce a spectrum: with a light beam in a dark room, and with a dark beam (i.e., a shadow) in a light room.
Goethe recorded the sequence of colours projected at various distances from a prism for both cases (see Plate IV, Theory of Colours). In both cases, he found that the yellow and blue edges remain closest to the side which is light, and red and violet edges remain closest to the side which is dark. At a certain distance, these edges overlap—and we obtain Newton's spectrum. When these edges overlap in a light spectrum, green results; when they overlap in a dark spectrum, magenta results.
With a light spectrum (i.e. a shaft of light in a surrounding darkness), we find yellow-red colours along the top edge, and blue-violet colours along the bottom edge. The spectrum with green in the middle arises only where the blue-violet edges overlap the yellow-red edges. Unfortunately an optical mixture of blue and yellow gives white, not green, and so Goethe's explanation of Newton's spectrum fails.
With a dark spectrum (i.e., a shadow surrounded by light), we find violet-blue along the top edge, and red-yellow along the bottom edge—and where these edges overlap, we find (extraspectral) magenta.
Goethe's colour wheel
When the eye sees a colour it is immediately excited and it is its nature, spontaneously and of necessity, at once to produce another, which with the original colour, comprehends the whole chromatic scale.— Goethe, Theory of Colours
Goethe anticipated Ewald Hering's Opponent process theory by proposing a symmetric colour wheel. He writes, "The chromatic circle... [is] arranged in a general way according to the natural order... for the colours diametrically opposed to each other in this diagram are those which reciprocally evoke each other in the eye. Thus, yellow demands violet; orange [demands] blue; purple [demands] green; and vice versa: thus... all intermediate gradations reciprocally evoke each other; the simpler colour demanding the compound, and vice versa ( paragraph #50).
In the same way that light and dark spectra yielded green from the mixture of blue and yellow—Goethe completed his colour wheel by recognising the importance of magenta—"For Newton, only spectral colors could count as fundamental. By contrast, Goethe's more empirical approach led him to recognize the essential role of magenta in a complete color circle, a role that it still has in all modern color systems."
Complementary colours and colours psychology
Goethe also included aesthetic qualities in his colour wheel, under the title of "allegorical, symbolic, mystic use of colour" (Allegorischer, symbolischer, mystischer Gebrauch der Farbe), establishing a kind of color psychology. He associated red with the "beautiful", orange with the "noble", yellow to the "good", green to the "useful", blue to the "common", and violet to the "unnecessary". These six qualities were assigned to four categories of human cognition, the rational (Vernunft) to the beautiful and the noble (red and orange), the intellectual (Verstand) to the good and the useful (yellow and green), the sensual (Sinnlichkeit) to the useful and the common (green and blue) and, closing the circle, imagination (Phantasie) to both the unnecessary and the beautiful (purple and red).
Notes on translation
Magenta appeared as a colour term only in the mid-nineteenth century, after Goethe. Hence, references to Goethe's recognition of magenta are fraught with interpretation. If one observes the colours coming out of a prism—an English person may be more inclined to describe as magenta what in German is called Purpur—so one may not lose the intention of the author.
|Purpur||Magenta (or purple)
|Blau||Blue||Gemein (mean, common)|
It is not clear how Goethe's Rot, Purpur (explicitly named as the complementary to green), and Schön (one of the six colour sectors) are related between themselves and to the red tip of the visible spectrum. The text about interference from the "physical" chapter does not consider Rot and Purpur synonymous. Also, Purpur is certainly distinct from Blaurot, because Purpur is named as a colour which lies somewhere between Blaurot and Gelbrot (, paragraph 476), although possibly not adjacent to the latter. This article uses the English translations from the above table.
Newton and Goethe
"The essential difference between Goethe’s theory of colour and the theory which has prevailed in science (despite all modifications) since Newton’s day, lies in this: While the theory of Newton and his successors was based on excluding the colour-seeing faculty of the eye, Goethe founded his theory on the eye’s experience of colour."
"The renouncing of life and immediacy, which was the premise for the progress of natural science since Newton, formed the real basis for the bitter struggle which Goethe waged against the physical optics of Newton. It would be superficial to dismiss this struggle as unimportant: there is much significance in one of the most outstanding men directing all his efforts to fighting against the development of Newtonian optics." (Werner Heisenberg, during a speech celebrating Goethe's birthday)
Due to their different approaches to a common subject, many misunderstandings have arisen between Newton's mathematical understanding of optics, and Goethe's experiential approach.
Because Newton understands white light to be composed of individual colours, and Goethe sees colour arising from the interaction of light and dark, they come to different conclusions on the question: is the optical spectrum a primary or a compound phenomenon?
For Newton, the prism is immaterial to the existence of colour, as all the colours already exist in white light, and the prism merely fans them out according to their refrangibility. Goethe sought to show that, as a turbid medium, the prism was an integral factor in the arising of colour.
Whereas Newton narrowed the beam of light in order to isolate the phenomenon, Goethe observed that with a wider aperture, there was no spectrum. He saw only reddish-yellow edges and blue-cyan edges with white between them, and the spectrum arose only where these edges came close enough to overlap. For him, the spectrum could be explained by the simpler phenomena of colour arising from the interaction of light and dark edges.
Newton explains the appearance of white with colored edges by saying that due to the differing overall amount of refraction, the rays mix together to create a full white towards the centre, whereas the edges do not benefit from this full mixture and appear with greater red or blue components. For Newton's account of his experiments, see his Opticks (1704).
Table of differences
|Qualities of Light||Newton (1704)||Goethe (1810)|
|Homogeneity||White light is composed of coloured elements (heterogeneous).||Light is the simplest most undivided most homogenous thing (homogeneous).|
|Darkness||Darkness is the absence of light.||Darkness is polar to, and interacts with light.|
|Spectrum||Colours are fanned out of light according to their refrangibility (primary phenomenon).||Coloured edges which arise at light-dark borders overlap to form a spectrum (compound phenomenon).|
|Prism||The prism is immaterial to the existence of colour.||As a turbid medium, the prism plays a role in the arising of colour.|
|Role of refraction||Light becomes decomposed through refraction, inflection, and reflection.||Refraction, inflection, and reflection can exist without the appearance of colour.|
|Analysis||White light decomposes into a spectrum of all colors.||There are only two pure colours—blue and yellow; the rest are degrees of these. Citation: (Theory of Colours, Volume 3, Paragraph 208/209)|
|Synthesis||Just as white light can be decomposed, it can be put back together.||Colours recombine to shades of grey.|
|Particle or wave?||Particle||Neither, since they are inferences and not observed with the senses.|
|Colour wheel||Asymmetric, 7 colours||Symmetric, 6 colours|
Goethe's reification of darkness is rejected by modern physics. Both Newton and Huygens defined darkness as an absence of light. Young and Fresnel combined Newton's particle theory with Huygen's wave theory to show that colour is the visible manifestation of light's wavelength. Physicists today attribute both a corpuscular and undulatory character to light—comprising the wave–particle duality.
History and influence
The first edition of the Farbenlehre was printed at the Cotta’schen Verlagsbuchhandlung on May 16, 1810, with 250 copies on grey paper and 500 copies on white paper. It contained three sections: i) a didactic section in which Goethe presents his own observations, ii) a polemic section in which he makes his case against Newton, and iii) a historical section.
From its publication, the book was controversial for its stance against Newton. So much so, that when Charles Eastlake translated the text into English in 1840, he omitted the content of Goethe's polemic against Newton.
Significantly (and regrettably), only the 'Didactic' colour observations appear in Eastlake's translation. In his preface, Eastlake explains that he deleted the historical and entoptic parts of the book because they 'lacked scientific interest', and censored Goethe's polemic because the 'violence of his objections' against Newton would prevent readers from fairly judging Goethe's color observations.— Bruce MacEvoy, Handprint.com, 2008
Influence on the arts
Goethe was initially induced to occupy himself with the study of colour by the questions of hue in painting. "During his first journey to Italy (1786–88), he noticed that artists were able to enunciate rules for virtually all the elements of painting and drawing except color and coloring. In the years 1786–88, Goethe began investigating whether one could ascertain rules to govern the artistic use of color."
This aim came to some fulfillment when several pictorial artists, above all Philipp Otto Runge, took an interest in his colour studies. After being translated into English by Charles Eastlake in 1840, the theory became widely adopted by the art world—especially among the Pre-Raphaelites. J. M. W. Turner studied it comprehensively and referenced it in the titles of several paintings. Wassily Kandinsky considered it "one of the most important works."
Influence on Latin American flags
During a party in Weimar in the winter of 1785, Goethe had a late-night conversation with the South American revolutionary Francisco de Miranda. In a letter written to Count Semyon Romanovich Vorontsov (1792), Miranda recounted how Goethe, fascinated with his exploits throughout the Americas and Europe, told him, "Your destiny is to create in your land a place where primary colours are not distorted.” He proceeded to clarify what he meant:
|“||First he explained to me the way the iris transforms the light into the three primary colours... then he said, "Why yellow is the most warm, noble and closest to the bright light; why Blue is that mix of excitement and serenity, so far that it evokes the shadows; and why Red is the exaltation of Yellow and Blue, the synthesis, the vanishing of the bright light into the shadows".||”|
Influence on philosophers
In the nineteenth century Goethe's Theory was taken up by Schopenhauer in On Vision and Colors, who developed it into a kind of arithmetical physiology of the action of the retina, much in keeping with his own representative idealism ["The world is my representation or idea"].
In the twentieth century the theory was transmitted to philosophy via Wittgenstein, who devoted a series of remarks to the subject at the end of his life. These remarks are collected as Remarks on Colour, (Wittgenstein, 1977).
Someone who agrees with Goethe finds that Goethe correctly recognized the nature of colour. And here ‘nature’ does not mean a sum of experiences with respect to colours, but it is to be found in the concept of colour.— Aphorism 125, Ludwig Wittgenstein, Remarks on Color, 1992
Wittgenstein was interested in the fact that some propositions about colour are apparently neither empirical nor exactly a priori, but something in between: phenomenology, according to Goethe. However, Wittgenstein took the line that 'There is no such thing as phenomenology, though there are phenomenological problems.' He was content to regard Goethe's observations as a kind of logic or geometry. Wittgenstein took his examples from the Runge letter included in the "Farbenlehre", e.g. "White is the lightest colour", "There cannot be a transparent white", "There cannot be a reddish green", and so on. The logical status of these propositions in Wittgenstein's investigation, including their relation to physics, has been discussed in Jonathan Westphal's Colour: a Philosophical Introduction (Westphal, 1991).
Reception by scientists
During Goethe's lifetime (that is, between 1810 and 1832) countless scientists and mathematicians commented on Goethe's Newton criticism in color theory , namely in reviews, books, book chapters, footnotes, open letters. Most of these votes (just under half) spoke against Goethe, especially Thomas Young (scientist) , Louis Malus , Pierre Prévost and Gustav Theodor Fechner. One third of the statements from the natural sciences were in favour of Goethe, in particular Thomas Johann Seebeck, Johann Salomo Christoph Schweigger and Johann Friedrich Christian Werneburg, and one-fifth expressed ambivalence or a draw.
As early as 1853, in Hermann von Helmholtz's lecture on Goethe's scientific works—he says of Goethe's work that he depicts the perceived phenomena—"circumstantially, rigorously true to nature, and vividly puts them in an order that is pleasant to survey, and proves himself here, as everywhere in the realm of the factual, to be the great master of exposition" (Helmholtz 1853). Helmholtz ultimately rejects Goethe's theory as the work of a poet, but expresses his perplexity at how they can be in such agreement about the facts of the matter, but in violent contradiction about their meaning—'And I for one do not know how anyone, regardless of what his views about colours are, can deny that the theory in itself is fully consequent, that its assumptions, once granted, explain the facts treated completely and indeed simply'. (Helmholtz 1853)
Although the accuracy of Goethe's observations does not admit a great deal of criticism, his aesthetic approach did not lend itself to the demands of analytic and mathematical analysis used ubiquitously in modern Science.
Goethe's colour theory has in many ways borne fruit in art, physiology and aesthetics. But victory, and hence influence on the research of the following century, has been Newton's.— Werner Heisenberg, 1952
One hole Goethe did find in Newton's armour, through which he incessantly worried the Englishman with his lance. Newton had committed himself to the doctrine that refraction without colour was impossible. He therefore thought that the object-glasses of telescopes must for ever remain imperfect, achromatism and refraction being incompatible. This inference was proved by Dollond to be wrong... Here, as elsewhere, Goethe proves himself master of the experimental conditions. It is the power of interpretation that he lacks.— John Tyndall, 1880
Much controversy stems from two different ways of investigating light and colour. Goethe was not interested in Newton's analytic treatment of colour—but he presented an excellent rational description of the phenomenon of human colour perception. It is as such a collection of colour observations that we must view this book.
Most of Goethe's explanations of color have been thoroughly demolished, but no criticism has been leveled at his reports of the facts to be observed; nor should any be. This book can lead the reader through a demonstration course not only in subjectively produced colors (after images, light and dark adaptation, irradiation, colored shadows, and pressure phosphenes), but also in physical phenomena detectable qualitatively by observation of color (absorption, scattering, refraction, diffraction, polarization, and interference). A reader who attempts to follow the logic of Goethe's explanations and who attempts to compare them with the currently accepted views might, even with the advantage of 1970 sophistication, become convinced that Goethe's theory, or at least a part of it, has been dismissed too quickly.
As Feigenbaum understood them, Goethe's ideas had true science in them. They were hard and empirical. Over and over again, Goethe emphasized the repeatability of his experiments. It was the perception of colour, to Goethe, that was universal and objective. What scientific evidence was there for a definable real-world quality of redness independent of our perception?
A study about spectral colours published in 2019 verified Goethe's explanation, which considers the resulting spectrum from a superposition of several complete images. Thus, the individual sub-images of the spectra of faces show not only an evenly monochrome surface, but also the shadows and contours of the object under consideration (main image). In such a spectrum, six complete faces can be seen. Mostly, however, the superposition of the individual images is so close that they are not recognized as such.
In contrast, the formation of a complete spectrum from the two edge spectra red-yellow and cyan-violet could not be confirmed. Thus, Goethe's explanation of the spectral colour green from the superimposition of the colours yellow and cyan is wrong. The same applies to the magenta colour of the stake-spectrum.
Detailed studies have shown that in each spectrum there are three dominant and also three faint sub-images. The reduction of spectral colours to the three colours red, green and blue (RGB) by using a very close slit and correspondingly to the colours cyan-magenta-yellow (CMY) using a narrow stake was observed by several researchers. It confirms the existence of the three dominant sub-images and refutes at the same time, both Newton's and Goethe's assumption. This was based on the primary colours yellow and blue (cyan), which, according to the atmospheric colours, should increase to red and blue-violet. From the colours yellow and cyan he tried, as mentioned above, to derive the green as the fifth colour. Newton, on the other hand, accepted a total of seven spectral colours, whereby he also included the mixed colours cyan and yellow into the "pure spectral colours." Both researchers have therefore adopted "too many primary colours". These circumstances in addition to the observations on the stake-spectrum make a complete reordering of the "true spectral colours" not only meaningful, but also necessary.
By clearly identifying the structure of the spectrum with a total of six sub-images, Goethe's assumption that the spectrum arises from only one main-picture and a single sub-image proves to be inadequate. Moreover, by means of his own terminology, the main image lingers in its place and is not involved in the formation of the spectral image. In cleverly chosen experimental arrangements, the main image can be seen simultaneously from the completely separated spectrum. - Even Goethe´s contemporary, Chrisitan Wünsch, selected three colours and explained the slit-spectrum more accurately than Goethe himself, who falsely condemned Wünsch by speaking of his “tricky three primary colours”.
In contrast to the "threefold full spectrum", which is composed of the three dominant sub-images, the verification of the clearly faint sub-images is new. It has been clearly demonstrated by numerous photographs.
With the proof of clearly delimited sub-images, the theory of infinite (spectral) colours with sliding transitions turns out to be wrong, because it refers to a compound phenomenon. The blurring of the pictorial boundary is based on the so-called "objective experiment", where, as with the drop shadow, the boundaries between light and dark become blurred as the distance from the object increases. The mixing of the image boundaries of the individual sub-images (spectral colours) is therefore a secondary event that blurs and obscures the separate origin. In integrated experiments with the prism in front of the eye, this blurring does not take place and the colours are delimited by clear lines, as Goethe described it in the edge spectra. Each line shows the edge of the monochrome sub-image.
Goethe tried to derive the appearance of monochromatic sub-images (spectral colours) from the "doctrine of the murky medium", which applies in the field of atmospheric colours. In experiments with clearly separated sub-images it could be clearly demonstrated that the sub-images themselves are already coloured phenomena. These floating and murky secondary images adopted by Goethe, should be the same colour in the same background, but they are not. In addition, according to the law, a murky but colourless sub-image against a light background could produce a yellow, but never a cyan. Goethe's assumption that the spectral colours are also attributed to the primal phenomena yellow and blue and to explain them according to the “teaching of the murky medium” does not apply here. Nevertheless, the emergence of the sub-images must be accepted "in and through the prism," which Goethe repeatedly pointed out.
The investigation of the alleged "white center" of the spectrum shows that the perception here is influenced by an "optical illusion". This is caused by a contrasting phenomenon. To prove the true colour or brightness, therefore, certain precautions are necessary, which Goethe already demanded in a "control strip of equal brightness". Since the “white center” results from superimposition of several monochrome sub-images, Goethe's observation confirms what he consistently stated, that the mixture of several colours can never be white, since the colour itself is a "lumen opacatum, a shadow". At the same time, however, this realization contradicts Goethe's assumption that the bright, colourless space between the edge-spectra is the originally white main-image.
The "reverse-spectrum" (stake-spectrum) discovered by Goethe, in which the spectral colours mix differently than in the usual slit-spectrum of Newton, also proved to be significant. In the slit-spectrum, which results from a "bright image on a dark background," the colours mix additively and brighten up in their overlay. In the stake-spectrum, which arises in the "dark picture on a light background," the colours mix subtractively and darken in their overlay. The two opposing initial conditions are therefore based on a different colour-mixing law. The spectra of both poles are equivalent, which also recognizes the resulting spectral colours of the stake-spectrum as “true spectral colours”. In this sense, the magenta-colour of the stake-spectrum corresponds to the green of the slit-spectrum, since both colours belong to the middle sub-image in the respective spectrum. Thus, the magenta colour hitherto assumed to be an exclusive mixing colour raises another problem, because it can no longer be classified in the existing scheme.
Extensive investigations of Newton's “experimentum crucis” has confirmed that every selected spectral colour produces a new spectrum after another refraction. Goethe also rightly contradicted Newton's claim:
Second Proposition. Second Theorem:
The Light of the Sun consists of Rays differently Refrangible.— Newton 
By definition, Newton himself refuted his own theory with this main evidence, since the appearance of further spectral colours after the second prism contradicts his conclusion. Johannes Grebe-Ellis and Matthias Rang also speak in the extended “experimentum lucis” of the monochromacy detection of the respectively separated spectral color, although here too the corresponding images show a multicolored spectrum. In addition, direct comparisons of the slit-spectra and stake-spectra make it clear that there are at least two true spectral colours, which would have to have the same “refraction angle” in his teaching. This is confirmed by Rang´s experiments with the mirror-slit diaphragm. The direct connection of a spectral color with a “refraction angle” or a “wavelength” is therefore subject to a new test. Goethe has also pointed this out by the simultaneous observation of the slit- and stake spectrum. This has also been pointed out by Goethe in the observations on the stake-spectrum. The corresponding experimental setup can still be seen in the Goethe National Museum today.
Investigating the "disorderly spectra" discovered by Ingo Nussbaumer, the composition of the colour of the sub-image described by Goethe was
corroborated by the real colour of the [...] [background], and a composite, either favored by coincidence or by adversity, therefore appears stunted colour.— Goethe, Theory of Colours
Thus, in the case of the “disorderly spectra”, it is only seemingly that they are "new" spectral colours.
"Newton believed that with the help of his prism experiments, he could prove that sunlight was composed of variously coloured rays of light. Goethe showed that this step from observation to theory is more problematic than Newton wanted to admit. By insisting that the step to theory is not forced upon us by the phenomena, Goethe revealed our own free, creative contribution to theory construction. And Goethe's insight is surprisingly significant, because he correctly claimed that all of the results of Newton's prism experiments fit a theoretical alternative equally well.. a century before Duhem and Quine's famous arguments for Underdetermination."
"Goethe’s critique of Newton was not an attack on reason or science, though it has often been portrayed that way.. The critique maintained that Newton had mistaken mathematical imagining as the pure evidence of the senses.. Goethe tried to define the scientific function of imagination: to interrelate phenomena once they have been meticulously produced, described, and organized... Newton had introduced dogma.. into color science by claiming that color could be reduced to a function of rays." (Dennis L. Sepper, 2009)
Goethe started out by accepting Newton's physical theory. He soon abandoned it... finding modification to be more in keeping with his own insights. One beneficial consequence of this was that he developed an awareness of the importance of the physiological aspect of colour perception, and was therefore able to demonstrate that Newton's theory of light and colours is too simplistic; that there is more to colour than variable refrangibility.— Michael Duck, 1988
"Although he soon rejected Newton’s differential refrangibility, Goethe always affirmed Newtonian mechanics. It was not an apriori poetic prejudice against mathematical analysis but rather performing the experiments that led him to reject the theory... Goethe soon concluded that in order to explain color one needs to know not just about light but also about eye function and relative differences in light across the visual field." (Sepper, 2009)
As a catalogue of observations, Goethe's experiments probe the complexities of human colour perception. Whereas Newton sought to develop a mathematical model for the behaviour of light, Goethe focused on exploring how colour is perceived in a wide array of conditions. Developments in understanding how the brain interprets colours, such as colour constancy and Edwin H. Land's retinex theory bear striking similarities to Goethe's theory.
A modern treatment of the book is given by Dennis L. Sepper in the book, Goethe contra Newton: Polemics and the Project for a New Science of Color (Cambridge University Press, 2003).
On the catalytic moment
- Checker shadow illusion (Same color illusion)
- Color theory
- Opponent process
- Romanticism in science
- Theory of painting
Notes and references
- http://findarticles.com/p/articles/mi_m0422/is_2_82/ai_64573524/pg_6. Missing or empty
- Goethe's Theory of Colours: Translated from the German; with Notes by Charles Lock Eastlake, R.A., F.R.S. London: John Murray. 1840. Archived from the original on 12 December 2016. Retrieved 18 October 2017 – via Internet Archive.
- Neil Ribe, Friedrich Steinle: Exploratory Experimentation: Goethe, Land, and Color Theory Physics Today, July 2002, retrieved July 3, 2011
- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 528. "das zentrale Axiom von Newtons Farbentheorie, daß in dem weißen, farblosen Licht alle Farben enthalten seien" ("the central axiom of Newton's colour theory that there were all colours in the white, colourless light")
- Goethe, Goethes Werke, Weimar: Hermann Böhlau, 1887–1919, II. Abtheilung: Naturwissenschaftlichte Schriften, Bd. 4, pp. 295–296
- Matthaei, Rupprecht. Über die Anfänge von Goethes Farbenlehre (On the beginnings of Goethe's Theory of Colours). In: Jahrbuch der Goethe-Gesellschaft (Yearbook of the Goethe Society) 11, 1949, p. 259, cited in Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 553. "Goethes Ausgangspunkt, die Entdeckung des Newtonschen Irrtums, wie er es nannte, im prismatischen Versuch, schwand ihm aus dem Blickfeld in dem Maße, als er die Bedeutung der Physiologischen Farben zu ahnen begann." ("Goethe's starting point, the discovery of the Newton error, as he called it, in the prismatic experiment, dwindled from his horizon according to how he began to sense the meaning of the Physiological Colours.")
- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 528. "Bereits 1793 hat Goethe seine Einwände gegen Newton formuliert in dem Aufsatz Über Newtons Hypothese der diversen Refrangibilität (...)." ("Already in 1793, Goethe formulated his arguments against Newton in the essay Über Newtons Hypothese der diversen Refrangibilität [...].")
- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 553. "Diese Wendung ist bereits angedeutet in Goethes Briefentwurf an Sömmerring vom Januar/Februar 1794, der Antwort auf Sömmerrings Brief an Goethe vom 18. Januar 1794 (...): Es ist weit mehr Physiologisches bei den Farbenerscheinungen, als man denkt, nur ist hier die Schwierigkeit noch größer als in andern Fällen, das Objektive vom Subjektiven zu unterscheiden." (Italics mark citations that may only slightly have been adapted to the descriptive sentence regarding the grammar.) Translation: "This change is already indicated in Goethe's draft for a letter to Sömmerring from January/February 1794, the answer to Sömmerring's letter from January 18, 1794 (...): There is much more physiological with the phenomena of colours than one would think, just that it is even more difficult, here, to distinguish between the objective and the subjective." The letter is cited by Mandelkow after: Goethe, Die Schriften zur Naturwissenschaft. Herausgegeben im Auftrage der Deutschen Akademie der Naturforscher (Leopoldina) zu Halle von R. Matthaei, W. Troll und L. Wolf. Weimar 1949 ff (Goethe, The writings on sciences. Edited on behalf of the German Academy of Sciences Leopoldina at Halle by R. Matthaei, W. Troll and L. Wolf. Weimar 1949 et seq.) See: Samuel Thomas von Sömmerring
- Louis-Bertrand Castel (1740). L'Optique des couleurs. Paris.
- Thomas L. Hankins and Robert J. Silverman (1995). Instruments and the Imagination. Nature. 391. pp. 347–348. Bibcode:1998Natur.391..347S. doi:10.1038/34821. ISBN 978-0-691-00549-2.
- https://arxiv.org/pdf/physics/0511130 | Alex Kentsis, Between Light and Eye
- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 528. "Die Lehre dagegen, die wir mit Überzeugung aufstellen, beginnt zwar auch mit dem farblosen Lichte, sie bedient sich äußerer Bedingungen, um farbige Erscheinungen hervorzubringen; sie gesteht aber diesen Bedingungen Wert und Würde zu. Sie maßt sich nicht an, Farben aus dem Licht zu entwickeln, sie sucht vielmehr durch unzählige Fälle darzutun, dass die Farbe zugleich von dem Lichte und von dem, was sich ihm entgegenstellt, hervorgebracht werde."
- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 2: Briefe der Jahre 1786–1805 (Letters of the years 1786–1805). Christian Wegner publishers, Hamburg 1968, p. 530. "Das für Goethes gesamte Naturbetrachtung konstitutive Prinzip der Polarität gehört zu seinen frühesten Überzeugungen..., an denen er niemals irre geworden sei (Brief an Schweigger, 25. April 1814). Im Vorwort zur Farbenlehre wird es als Hauptabsicht des gegenwärtigen Werkes bezeichnet, dieses universelle Prinzip auch auf die Farbenlehre anzuwenden." (Italics mark citations that may only slightly have been adapted to the descriptive sentence regarding the grammar.) Translation: "The principle of polarity, that is constitutive for all of Goethe's study of nature, belongs to the earliest of his convictions..., that he had never lost faith in (letter to Schweigger, April 25, 1814). In the preface to the Theory of Colours, it is called the main intention of the work at hand to apply this universal principle also to the theory of colours." See Johann Schweigger
- Goethe, Johann (October 1995). Miller, Douglas (ed.). "Scientific Studies (Goethe: The Collected Works, Vol. 12), p.57". Princeton University Press.
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- Seamon, David (1998). Seamon, David; Zajonc, Arthur (eds.). Goethe's Way of Science: A Phenomenology of Nature. Albany, NY: State University of New York Press.
- Jonah Lehrer|Goethe and Color Archived 2007-01-28 at the Wayback Machine, December 7, 2006
- Quoted in translation in: Hughes, Peter (1992). "Performing Theory: Wittgenstein and the Trouble with Shakespeare". Comparative Criticism. 14: 85.
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- Arthur Zajonc. "Goethe's Theory of Color and Scientific Intuition", American Journal of Physics, Vol. 44, No. 4 April (1976): 3-4. 'This is of course in error since the green produced here is approximately spectral green, that is, pure green, not a mixture.' The point is that the optical mixing of the edge-spectra is additive, not subtractive.https://en.wikipedia.org/wiki/Color_mixing, and that there is no combination of yellows or blues that will produce the saturated green produced when the edge-spectra start to overlap.
- Goethe's Color Theory Archived 2008-09-16 at the Wayback Machine. Webexhibits.org, retrieved July 3, 2011
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- Ernst Lehrs, Man or Matter Archived 2014-01-10 at the Wayback Machine, retrieved January 10, 2014
- Ernst Lehrs, Man or Matter, Chapter II | https://archive.org/stream/manormatter05641gut/elmom10p#page/n23/mode/2up
- R. H. Stephenson, Goethe's Conception of Knowledge and Science (Edinburgh: Edinburgh University Press, 1995)
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- Karl Robert Mandelkow: Goethes Briefe (Goethe's Letters). 2. edition. Vol. 4: Briefe der Jahre 1821–1832 (Letters of the years 1821–1832). C. H. Beck publishers, München 1976, p. 622. "Wie die Anfänge von Goethes Beschäftigung mit der Farbenlehre veranlaßt waren durch die Frage nach dem Kolorit in der Malerei (...), so war die Anteilnahme bildender Künstler an seinen Farbenstudien für Goethe eine hochwillkommene Bestätigung des von ihm Gewollten, wie er sie vor allem von Philipp Otto Runge erfahren hat." ("As the beginnings of Goethe's occupation with the theory of colours were induced by the question of hue in painting [...], the interest of pictorial artists in his colour studyings was a highly welcome acknowledgement of what he wanted, for him, which he above all received from Philipp Otto Runge.")
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- Theory of Colours (in German) online pdf
- Theory of Colours (in English)
- Theory of Colours (audiobook; released June 2014) (in English)
- Physics Today – Exploratory Experimentation: Goethe, Land, and Colour Theory, 2002
- Goethe's Prismatic Experiments; Fotos by Sakae Tajima
- Light, Darkness and Colour, a film by Henrik Boëtius (1998)
- Connections That Have a Quality of Necessity: Goethe's Way Of Science As a Phenomenology of Nature
- Colour Mixing and Goethe's Triangle (Java Applet)
- Texts on Wikisource:
- BBC Radio 4 Podcast, In Our Time Science – Goethe and the Science of the Enlightenment (download free of charge), or this link 
- Critical review of Goethe's Theory of Colours
- David Briggs on primary colours, including a fundamental critique concerning Goethe's physical observations
- A list of links relating to Goethe's investigation of colour
- Essay discussing color psychology and Goethe's theory
- Google Scholar: Works citing Theory of Colours